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Some Results on Cohomology of Twisted Smash Coproduct

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Abstract

With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct, this paper first gives some basic constructions which make sense to consider the derived functors of some left exact functors from the category of comodules to vector spaces. Then, the Hochschild—Serre spectral sequence for twisted Smash coproduct coalgebras is obtained, which extends some results on homological properties given in the category of comodules over Smash coproduct in the literature.

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Acknowledgements

We thank the referees for their time and comments.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Ludong University, Yantai, 264025, P. R. China

    Ling Jia

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  1. Ling Jia
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Correspondence to Ling Jia.

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Supported by the Natural Science Foundation of Shandong Provience (Grant No. ZR2012AL02)

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Jia, L. Some Results on Cohomology of Twisted Smash Coproduct. Acta. Math. Sin.-English Ser. 38, 1484–1492 (2022). https://doi.org/10.1007/s10114-022-0057-2

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  • DOI: https://doi.org/10.1007/s10114-022-0057-2

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